Question 1

The formula that is used to determine the average waiting time in the queue (W_q)is ________.

Accepted Answer

The formula for the average waiting time in the queue is W_q, which is represented by the two UUIDs in the answer choices. The correct choice is the one where the second UUID has a value of 3bb9 in the fourth group of characters, which is C. The other answer choices have different values in that position, making them incorrect.

Question 2

Use the data given below to answer the following question(s).
In an FCFS single server queuing discipline,the mean arrival rate is 12 customers/minute and the mean service rate is 14.5 customers/minute.
-Calculate the average number of customers in the queue.

Accepted Answer

Using Little's law, we can find the average number of customers in the queue:
Lq = λ^2 / (µ(µ-λ))
Lq = (12^2) / (14.5(14.5-12))
Lq = 3.97
Therefore, the average number of customers in the queue is 3.97, which is closest to option D (3.97).

Question 3

Identify the formula that is used to determine the average time a customer spends in the system (W).

Accepted Answer

D

Question 4

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Accepted Answer

The mean arrival time (λ) is equal to the inverse of the mean interarrival time (t). Therefore, t = 1/λ.

Question 5

Which of the following is an example of a probabilistic arrival?

Accepted Answer

People visiting a hair salon is an example of a probabilistic arrival because the arrival time of customers is not fixed and can vary due to factors such as traffic, availability of parking, personal schedules, etc. In contrast, parts feeding from an automated machine (A) occurs at regular intervals and is not probabilistic. Counseling sessions (C) and teaching sessions (D) also typically occur at fixed time slots and are not probabilistic arrivals.

Question 6

In queuing systems with multiple queues,customers switch lines if they perceive another to be moving faster.This kind of behavior is called ________.

Accepted Answer

The behavior of customers switching lines if they perceive another to be moving faster is called jockeying. Balking refers to when customers refuse to join a queue, reneging is when customers leave a queue before being served, and straddling is not a term commonly used in queuing theory.

Question 7

In the context of efficiency evaluation of a service operation,what does throughput mean?

Accepted Answer

Throughput in the context of service operation efficiency evaluation refers to the rate at which customers are served, meaning the number of customers that can be served in a given time period. It is a measure of the capacity of the system to handle customers and is a key performance indicator for service operations. Option A refers to server utilization, option B refers to the percentage of customers who refuse service, and option D refers to the rate at which customers switch between queues, none of which strictly measure throughput.

Question 8

In queuing theory,what is the calling population?

Accepted Answer

The calling population refers to the set of potential customers who may require service or assistance from the system. This includes all individuals who may arrive at the service facility and request service during the operating hours.

Question 9

Which of the following is an assumption of the Poisson process?

Accepted Answer

The Poisson process assumes that past arrivals do not influence future arrivals. This means that the process is memoryless and each arrival is independent of previous arrivals. The other options (A, B, D) are all statements that contradict the assumptions of the Poisson process.

Question 10

Use the model assumptions given below to answer the following question(s).
Assume Poisson arrivals with a mean arrival rate λ,exponential service times with mean service rate μ,a single server,and an FCFS queue discipline.
-The formula that is used to determine the average number of customers in the system (L)is ________.

Accepted Answer

The answer of Use the model assumptions given below to...

Question 11

Use the case given below to answer the following question(s).
Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn.
-Which of the following is an example of balking?

Accepted Answer

Balking occurs when a customer decides not to enter a queue or line after seeing its length or the wait time, as Elizabeth did in option D.

Question 12

In queuing systems,some customers may arrive at the system,determine that the line is too long,and decide not to join the queue.This kind of behavior is called ________.

Accepted Answer

Balking occurs when potential customers decide not to enter a queue because it is too long or the wait seems too long.

Question 13

It is common for customers to leave a queue before being served.This kind of behavior is known as ________.

Accepted Answer

Reneging is the term used to describe the behavior of customers leaving a queue before being served. Balking means refusing to join a queue because it is too long or the wait time is too high. Jockeying refers to the behavior of customers switching between different queues to try and get served faster. Ratifying means approving or validating something.

Question 14

Identify the formula that is used to determine the probability that the system is empty (P₀).

Accepted Answer

The formula for the probability that the system is empty is given by P₀ = 1 - λ/μ. This is because if λ/μ is the ratio of the arrival rate to the service rate, then 1 - λ/μ represents the probability that the system is idle or empty.

Question 15

Use the model assumptions given below to answer the following question(s). Assume Poisson arrivals with a mean arrival rate λ,exponential service times with mean service rate μ,a single server,and an FCFS queue discipline. -Identify the formula that is used to determine the average number of customers in the queue (L_q).

Accepted Answer

The answer of Use the model assumptions given below to...

Question 16

Consider a situation where service times follow an exponential distribution.If the probability of the average service time,t,exceeding the mean is low at 0.368,which of the following is likely to be true?

Accepted Answer

Since service times follow an exponential distribution, the distribution is skewed to the right. Therefore, if the probability of the average service time exceeding the mean is low, it is likely that there are a large number of small service times and a few long ones. This corresponds to choice B.

Question 17

Process simulation ________.

Accepted Answer

Process simulation is an approach for modeling the logical sequence of events as they take place. It involves creating a computational model of a process that mimics the behavior of the real system over time. This allows for analysis of the process behavior, identification of bottlenecks and optimization of the process. Options A, B, and C are not descriptions of process simulation.

Question 18

Which of the following is an example of a deterministic arrival?

Accepted Answer

Deterministic arrival refers to arrivals that occur at specific times or intervals, which can be predicted in advance. Patients arriving at appointed times to a medical facility is an example of this, as their appointments are scheduled ahead of time. The other options (B, C, and D) are examples of stochastic arrivals, where the times of arrival are random and unpredictable.

Question 19

Use the case given below to answer the following question(s).
Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn.
-Which of the following,if true,would suggest that Reuben reneged?

Accepted Answer

Reneging refers to the act of backing out from a commitment or agreement. In this context, Reuben reneging would mean he decided not to wait for his turn as initially agreed when he placed his order. Option B directly indicates that Reuben canceled his order due to the wait time, which is a clear act of reneging.

Question 20

Use the case given below to answer the following question(s).
Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn.
-Which of the following,if true,would suggest that Reuben jockeyed?

Accepted Answer

Jockeying refers to moving to a different line or position to gain an advantage, such as moving to a counter with fewer people.

Quiz 12: Queues and Process Simulation Modeling

The formula that is used to determine the average waiting time in the queue (W_q) is ________.

Use the data given below to answer the following question(s) . In an FCFS single server queuing discipline,the mean arrival rate is 12 customers/minute and the mean service rate is 14.5 customers/minute. -Calculate the average number of customers in the queue.

Identify the formula that is used to determine the average time a customer spends in the system (W) .

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Which of the following is an example of a probabilistic arrival?

In queuing systems with multiple queues,customers switch lines if they perceive another to be moving faster.This kind of behavior is called ________.

In the context of efficiency evaluation of a service operation,what does throughput mean?

In queuing theory,what is the calling population?

Which of the following is an assumption of the Poisson process?

Use the case given below to answer the following question(s) . Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn. -Which of the following is an example of balking?

In queuing systems,some customers may arrive at the system,determine that the line is too long,and decide not to join the queue.This kind of behavior is called ________.

It is common for customers to leave a queue before being served.This kind of behavior is known as ________.

Identify the formula that is used to determine the probability that the system is empty (P₀) .

Consider a situation where service times follow an exponential distribution.If the probability of the average service time,t,exceeding the mean is low at 0.368,which of the following is likely to be true?

Process simulation ________.

Which of the following is an example of a deterministic arrival?

Quiz 12: Queues and Process Simulation Modeling

The formula that is used to determine the average waiting time in the queue (Wq) is ________.

Use the data given below to answer the following question(s) . In an FCFS single server queuing discipline,the mean arrival rate is 12 customers/minute and the mean service rate is 14.5 customers/minute. -Calculate the average number of customers in the queue.

Identify the formula that is used to determine the average time a customer spends in the system (W) .

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Which of the following is an example of a probabilistic arrival?

In queuing systems with multiple queues,customers switch lines if they perceive another to be moving faster.This kind of behavior is called ________.

In the context of efficiency evaluation of a service operation,what does throughput mean?

In queuing theory,what is the calling population?

Which of the following is an assumption of the Poisson process?

Use the case given below to answer the following question(s) . Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn. -Which of the following is an example of balking?

In queuing systems,some customers may arrive at the system,determine that the line is too long,and decide not to join the queue.This kind of behavior is called ________.

It is common for customers to leave a queue before being served.This kind of behavior is known as ________.

Identify the formula that is used to determine the probability that the system is empty (P0) .

Consider a situation where service times follow an exponential distribution.If the probability of the average service time,t,exceeding the mean is low at 0.368,which of the following is likely to be true?

Process simulation ________.

Which of the following is an example of a deterministic arrival?

The formula that is used to determine the average waiting time in the queue (W_q) is ________.

Identify the formula that is used to determine the probability that the system is empty (P₀) .